Sweet Sugar%0D%0AWeight (lbs.)%09Price ($)%0D%0A2.5%090.75%0D%0A15.0%094.50%0D%0A30.0%099.00%0D%0A100.0%0930.00 %0D%0ASuper Sugar%0D%0AWeight (lbs.)%09Price ($)%0D%0A3.75%091.16%0D%0A10.0%093.10%0D%0A25.0%097.75%0D%0A110.0%0934.10%0D%0ABased on the tables showing the price of buying different amounts of two brands of sugar, Suman determined that Sweet Sugar was the better buy based on price alone. How much money per pound will Suman save if he buys the Sweet Sugar brand?%0D%0A%0D%0A(1 point)%0D%0ASuman will save $ per poun
To determine how much money per pound Suman will save if he buys the Sweet Sugar brand, we need to calculate the difference in price per pound between Sweet Sugar and Super Sugar.
Let's look at the prices per pound for both brands of sugar:
For Sweet Sugar:
- Weight (lbs.): 2.5, Price ($): 0.75
- Weight (lbs.): 15.0, Price ($): 4.50
- Weight (lbs.): 30.0, Price ($): 9.00
- Weight (lbs.): 100.0, Price ($): 30.00
For Super Sugar:
- Weight (lbs.): 3.75, Price ($): 1.16
- Weight (lbs.): 10.0, Price ($): 3.10
- Weight (lbs.): 25.0, Price ($): 7.75
- Weight (lbs.): 110.0, Price ($): 34.10
To find the price per pound for each brand, we divide the price by the weight for each amount:
For Sweet Sugar:
- Price per pound for 2.5 lbs: 0.75/2.5 = 0.3
- Price per pound for 15 lbs: 4.50/15 = 0.3
- Price per pound for 30 lbs: 9.00/30 = 0.3
- Price per pound for 100 lbs: 30.00/100 = 0.3
For Super Sugar:
- Price per pound for 3.75 lbs: 1.16/3.75 = 0.30933333333333335 (approximately 0.31)
- Price per pound for 10 lbs: 3.10/10 = 0.31
- Price per pound for 25 lbs: 7.75/25 = 0.31
- Price per pound for 110 lbs: 34.10/110 = 0.31
We can see that the price per pound for both brands is the same, which means there is no difference in price per pound. Therefore, Suman will not save any money per pound by buying the Sweet Sugar brand.
To determine how much money per pound Suman will save if he buys the Sweet Sugar brand, we need to compare the prices of Sweet Sugar and Super Sugar per pound.
For Sweet Sugar:
- Weight (lbs.): 2.5
- Price ($): 0.75
To calculate the price per pound of Sweet Sugar, we divide the price by the weight:
Price per pound of Sweet Sugar = Price ($) / Weight (lbs.)
Price per pound of Sweet Sugar = 0.75 / 2.5
Price per pound of Sweet Sugar = 0.30
For Super Sugar:
- Weight (lbs.): 3.75
- Price ($): 1.16
To calculate the price per pound of Super Sugar, we divide the price by the weight:
Price per pound of Super Sugar = Price ($) / Weight (lbs.)
Price per pound of Super Sugar = 1.16 / 3.75
Price per pound of Super Sugar = 0.30933333333333335 (approx. 0.31)
To determine how much Suman will save per pound by buying Sweet Sugar instead of Super Sugar, we subtract the price per pound of Sweet Sugar from the price per pound of Super Sugar:
Savings per pound = Price per pound of Super Sugar - Price per pound of Sweet Sugar
Savings per pound = 0.31 - 0.30
Savings per pound = 0.01
Therefore, Suman will save $0.01 per pound if he buys the Sweet Sugar brand.
To determine how much money per pound Suman will save if he buys the Sweet Sugar brand, we need to compare the prices per pound for Sweet Sugar and Super Sugar.
Looking at the Sweet Sugar table, we can see that the price per pound is given as 0.75, 4.50, 9.00, and 30.00 for weights of 2.5, 15.0, 30.0, and 100.0 pounds respectively.
To calculate the price per pound for Sweet Sugar, we divide the price by its corresponding weight:
- For 2.5 pounds, the price per pound is 0.75 / 2.5 = 0.30.
- For 15.0 pounds, the price per pound is 4.50 / 15.0 = 0.30.
- For 30.0 pounds, the price per pound is 9.00 / 30.0 = 0.30.
- For 100.0 pounds, the price per pound is 30.00 / 100.0 = 0.30.
Now, let's do the same calculation for Super Sugar. Looking at the Super Sugar table, we can see that the price per pound is given as 1.16, 3.10, 7.75, and 34.10 for weights of 3.75, 10.0, 25.0, and 110.0 pounds respectively.
- For 3.75 pounds of Super Sugar, the price per pound is 1.16 / 3.75 = 0.31.
- For 10.0 pounds, the price per pound is 3.10 / 10.0 = 0.31.
- For 25.0 pounds, the price per pound is 7.75 / 25.0 = 0.31.
- For 110.0 pounds, the price per pound is 34.10 / 110.0 = 0.31.
From the calculations, we can see that both Sweet Sugar and Super Sugar have the same price per pound of $0.30. This means that Suman will not save any money per pound regardless of which brand he chooses, as both brands have the same price per pound.